Rays in Geometry

What is Ray in maths?

Ray in Mathematics are lines with one side having fixed endpoint and the other side as infinitely extendible side represented by an arrow.

How to Represent Rays?

Rays are represented by a fixed endpoint on one side and an arrow on the other side.

What is Difference Between Line and Ray?

A line can be infinitely extended in both directions whereas a ray can infinitely extended only in one direction.

What is Difference between Line segment and Ray?

A line segment has two fixed endpoints and cannot be extended while a ray has only one fixed endpoint and can be infinitely extended from one side.

What are the Two sides of an Angle made up of: line, line segment or ray?

The two sides of an angle are made up of two individual rays.

Can a Ray Be Defined by Two Points?

No, a ray cannot be defined by two points. It’s defined by one endpoint and extends infinitely in one direction. Two points determine a line segment.

What is the Name of the Endpoint of a Ray?

The endpoint of a ray is called the “origin” or “initial point.”

Can Rays Intersect or Cross Each Other?

Rays can intersect or cross if their extensions meet at a point. However, they do not cross if they share only a common endpoint and extend in different directions.

What Are Some Common Examples of Rays in Real-Life Geometry?

Examples of rays in real-life geometry include sunlight rays, laser beams, and the path of a moving vehicle’s headlights on the road.

Can a Ray Change Direction?

No, a ray does not change direction. It extends infinitely in one direction from its origin point. It remains fixed in direction.



Ray in Geometry

Rays in mathematics are part of Geometry that has one side fixed and the other can be infinitely extended. In geometry, a ray is a line that starts at a single point, known as the endpoint and stretches infinitely in one direction. A real-world example of a ray is a beam of sunlight; the sun serves as the endpoint, and the light travels outward without end.

The representation of Ray is different from the other representations of line and line segments and holds a special significance for its unique properties.

In this article, we will discuss the real meaning of ‘Rays’ in geometry followed by ray properties, representation, real-life examples, and differences between rays and other representations like line and line segments. At the end of this blog, we will also look at some solved examples and practice problems on rays in geometry.

Table of Content

  • What is Ray in Geometry?
  • Ray in Geometry Examples in Real Life
  • Properties of Ray
  • Representation of Ray in Geometry
  • Ray and Angles
  • Line, Line Segment and Rays
  • Solved Examples on Rays
  • Practice Question on Ray in Geometry

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What is Ray in Geometry?

Ray in Geometry is a special type of representation that can be infinitely extended from one side while the other side is static and represented by a single endpoint....

Ray in Geometry Examples in Real Life

The real world example of ray would be considering the sunlight originating from their source sun as the fixed endpoint and reaching earth with sun-rays that can be infinitely extended in one direction. The sun is considered as static fixed point and rays constitute the infinitely extendible side of ray....

Properties of Ray

Ray is fundamental to the geometry and vectors. Hence, we must learn its unique properties. The properties of Ray are discussed below:...

Representation of Ray in Geometry

We know that a Ray has one end point and it can be extended only in one direction. Let we have a Ray AB in which A is the end Point and it can be extended in the direction of B. The image of ray AB is attached below:...

Ray and Angles

Angles are formed from rays in geometry. An angle is formed when two rays combine with their fixed endpoints overlapping and the other infinitely extended side of ray then represent the arm of an angle....

Line, Line Segment and Rays

Line, Line Segment and Rays are three fundamentals of geometry which forms the basis of almost every geometrical shape and figures. Let’s learn about their basic definitions and comparison between them....

Solved Examples on Rays

Below are some examples to help you understand about rays in geometry....

Practice Question on Ray in Geometry

Q1: Draw a ray of 5 cm in length. Name the ray points of both direction....

Summary – Ray in Geometry

In geometry, a ray is a line with a fixed starting point on one end and the ability to extend infinitely in the other direction. This is different from a line, which extends in both directions, and a line segment, which does not extend at all and has two fixed endpoints. Rays are important in geometry and are used to form angles when two rays originate from the same endpoint and extend outward. The concept of rays is also applicable in real life, such as sunlight traveling from the sun to the Earth, with the sun acting as the fixed endpoint. Understanding rays helps in studying various properties and their applications in both theoretical and practical scenarios in geometry....

FAQs on Rays in Geometry

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